Q: What are the prime factors of the number 84,167,255?

 A: 5, 17, 691, 1433

Why are those the prime factors of the number 84,167,255?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 84,167,255

84,167,255
Factor Arrows
516,833,451
Factor Arrows
17990,203
Factor Arrows
6911,433

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

5, 17, 691, 1433

We can check our work by multiplying all of the prime factors together: 5 x 17 x 691 x 1,433 = 84,167,255

This can also be written as 51 x 171 x 6911 x 1,4331 = 84,167,255

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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